i used to use voyager on an A4000/030 to get to my hotmail account, however those days are long gone.
i find an amiga hooked up to a broadband connection is still usefull for low overhead sites like forums, the occasional google, and the ever present aminet.
and ibrowse is good enough for basic browsing. just don't expect mainstream sites to work too well, if at all.
OWB needs ram, and lots of it. i haven't tested it on 68k yet... but apparently has quite good support of current web standards.